整数有着许多奇妙的性质.许多大数学家如费马、高斯、欧拉等对整数性质的研究都作出过重要的贡献.整数中许多著名猜想有些已经解决,有些至今还使数学家们苦苦探索. 有关整数性质的一些数学问题,由于推理性强、变化多,在初、高中数学竞赛中屡屡出现.这些问题吸引着广大中学师生.并激发起他们学习数学的兴趣.现举初中数学竞赛中的一些有关整数的问题,了解一下解这类问题的基本思路. Integers have many wonderful properties. Many large mathematicians such as Fermat, Gauss, Euler, etc. have made important contributions to the study of the nature of integers. Many of the famous conjectures in integers have been solved, and some have so far caused mathematicians to struggle. Exploring. Some mathematical problems concerning the nature of integers, due to their strong reasoning and variety, have been repeated in mathematics competitions at the beginning and high schools. These problems have attracted many middle school teachers and students and inspired their interest in learning mathematics. Some questions about integers in the contest, to understand the basic ideas for solving such problems.